Write in logarithmic form.
-$\left(\frac{7}{5}\right)^{5}=\frac{16,807}{3125}$

A) $\log _{5}\left(\frac{7}{5}\right)=\frac{16,807}{3125}$

B) $\log _{7 / 5} 5=\frac{16,807}{3125}$

C) $\frac{\log _{5} 16,807}{\log _{5} 3125}=\frac{7}{5}$

D) $\log _{7 / 5}\left(\frac{16,807}{3125}\right)=5$

Question

Write in logarithmic form.
-$\left(\frac{7}{5}\right)^{5}=\frac{16,807}{3125}$

A) $\log _{5}\left(\frac{7}{5}\right)=\frac{16,807}{3125}$

B) $\log _{7 / 5} 5=\frac{16,807}{3125}$

C) $\frac{\log _{5} 16,807}{\log _{5} 3125}=\frac{7}{5}$

D) $\log _{7 / 5}\left(\frac{16,807}{3125}\right)=5$

Quizplus · Accepted Answer

The logarithmic form of $a^b = c$ is $\log_a(c) = b$. Thus, $\left(\frac{7}{5}\right)^{5}=\frac{16,807}{3125}$ in logarithmic form is $\log _{7 / 5}\left(\frac{16,807}{3125}\right)=5$.